Bootstrapping the O(N ) vector models

Kos, Filip; Poland, David; Simmons-Duffin, David

doi:10.1007/jhep06(2014)091

Title: Bootstrapping the O(N ) vector models

Journal Article · Mon Jun 16 00:00:00 EDT 2014 · Journal of High Energy Physics (Online)

DOI:https://doi.org/10.1007/jhep06(2014)091· OSTI ID:1599107

Kos, Filip ^[1]; Poland, David ^[1]; Simmons-Duffin, David ^[2]

Yale Univ., New Haven, CT (United States)
Inst. for Advanced Study, Princeton, NJ (United States)

We study the conformal bootstrap for 3D CFTs with O(N) global symmetry. We obtain rigorous upper bounds on the scaling dimensions of the first O(N) singlet and symmetric tensor operators appearing in the $$\phi_i \times \phi_j$$ OPE, where $$\phi_i$$ is a fundamental of O(N). Comparing these bounds to previous determinations of critical exponents in the O(N) vector models, we find strong numerical evidence that the O(N) vector models saturate the bootstrap constraints at all values of N. We also compute general lower bounds on the central charge, giving numerical predictions for the values realized in the O(N) vector models. We compare our predictions to previous computations in the 1/N expansion, finding precise agreement at large values of N.

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Research Organization:: Institute for Advanced Study, Princeton, NJ (United States)

Sponsoring Organization:: USDOE Office of Science (SC)

Grant/Contract Number:: SC0009988

OSTI ID:: 1599107

Journal Information:: Journal of High Energy Physics (Online), Vol. 2014, Issue 6; ISSN 1029-8479

Publisher:: Springer BerlinCopyright Statement

Country of Publication:: United States

Language:: English

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Cited by: 218 works

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